Tony Mowbray’s side created the better chances in a goalless first half, despite losing captain Corry Evans to an injury.
The Black Cats then took the lead five minutes after half-time when Ross Stewart was awarded a penalty, resulting in a red card for Boro defender Dael Fry.
Stewart’s initial spot kick was saved by goalkeeper Zach Steffen, yet the striker was able to convert the rebound.
Amad then secured the win for the hosts when he beat Steffen with a low finish nine minutes from time.
Here’s how Phil Smith rated each Sunderland player at the Stadium of Light:
13. Bailey Wright (sub) - 6
Helped see the game out at right back with one or two good challenges. 6 Photo: Frank Reid
14. Abdoullah Ba (sub) - 6
Looked composed on the ball and got into some good areas as Sunderland saw it out. 6 Photo: Frank Reid
15. Jewison Bennette (sub) - 6
Offered an outlet with his pace late on. 6 Photo: Frank Reid